[{"0":0,"1":1,"2":4,"3":6,"4":7,"5":11,"6":12,"7":13,"8":14,"9":15,"10":16,"11":17,"12":18,"13":36,"14":37,"15":42,"16":47,"17":51,"18":53,"19":55,"20":58,"21":59,"22":60,"23":64,"24":65,"25":66,"26":68,"27":69,"28":72,"29":74,"30":75,"31":77,"32":78,"33":79,"34":80,"35":81,"36":82,"37":83,"38":84,"39":87,"40":89,"41":113,"42":116,"43":121,"44":123,"45":124,"46":126,"47":131,"48":140,"49":142,"50":144,"51":147,"52":149,"53":150,"54":151,"55":152,"56":153,"57":154,"58":155,"59":174,"60":178,"61":184,"62":185,"63":196,"64":197,"65":199,"66":201,"67":202,"68":204,"69":205,"70":206,"71":211,"72":212,"73":215,"74":216,"75":226,"76":232,"77":234,"78":235,"79":237,"80":238,"81":240,"82":244,"83":245,"84":248,"85":251,"86":255,"87":256,"88":258,"89":260,"90":261,"91":262,"92":263,"93":265,"94":266,"95":267,"96":268,"97":269,"98":270,"99":271,"100":272,"101":274,"102":275,"103":276,"104":277,"105":278,"106":296,"107":300,"108":301,"109":308,"110":309,"111":313,"112":319,"113":321,"114":323,"115":324,"116":327,"117":328,"118":329,"119":330,"120":334,"121":336,"122":337,"123":338,"124":339,"125":342,"126":343,"127":344,"128":345,"129":346,"130":349,"131":350,"132":364,"133":365,"134":367,"135":369,"136":375,"137":379,"138":380,"139":382,"140":388,"141":390,"142":391,"143":392,"144":393,"145":394,"146":396,"147":397,"148":398,"149":400,"150":401,"151":402,"152":403,"153":404,"154":413,"155":414,"156":420,"157":422,"158":423,"159":424,"160":429,"161":430,"162":432,"163":433,"164":434,"165":435,"166":436,"167":442,"168":447,"169":448,"171":452,"172":453,"173":454,"174":455,"175":456,"176":457,"177":459,"178":460,"179":461,"180":462,"181":463,"182":464,"183":465,"184":485,"185":487,"186":489,"187":504,"188":514,"189":516,"190":517,"191":519,"192":520,"193":521,"194":522,"195":523,"196":524,"197":525,"198":526,"199":528,"200":529,"201":531,"202":532,"203":533,"204":545,"205":546,"206":547,"207":551,"208":552,"209":553,"210":554,"211":555,"212":556,"213":557,"214":559,"215":560,"216":561,"217":563,"218":567,"219":568,"220":569,"221":573,"222":574,"223":575,"224":577,"225":597,"226":603,"227":606,"228":625,"229":645,"230":646,"231":648,"232":650,"233":652,"234":678,"235":680,"236":684,"237":686,"238":692,"239":698,"240":705,"241":709,"242":712,"243":722,"244":724,"245":725,"246":726,"247":727,"248":728,"249":733,"250":734,"251":737,"252":739,"253":740,"254":743,"255":769,"256":772,"257":773,"258":774,"259":776,"260":778,"261":781,"262":793,"263":794,"264":797,"265":798,"266":801,"267":802,"268":803,"269":804,"270":805,"271":806,"272":807,"273":808,"274":809,"275":810,"276":811,"277":813,"278":815,"279":816,"280":817,"281":831,"282":832,"283":835,"284":836,"285":839,"286":840,"287":841,"288":847,"289":848,"290":857,"291":858,"292":861,"293":864,"294":865,"295":866,"296":869,"297":870,"298":872,"299":874,"300":875,"301":877,"302":879,"303":880,"304":881,"305":882,"306":894,"307":898,"308":899,"309":900,"310":902,"311":905,"312":908,"313":909,"314":912,"315":915,"316":916,"317":920,"318":924,"319":926,"320":927,"321":928,"322":929,"323":930,"324":931,"325":933,"326":934,"327":936,"328":937,"329":956,"330":958,"331":963,"332":964,"333":967,"334":968,"335":974,"336":975,"337":976,"338":977,"339":979,"340":981,"341":982,"342":983,"343":984,"344":986,"345":987,"346":988,"347":989,"348":990,"349":1001,"350":1002,"351":1004,"352":1011,"353":1012,"354":1013,"355":1019,"356":1021,"357":1022},{"0":3,"1":5,"2":8,"3":10,"4":19,"5":21,"6":22,"7":24,"8":25,"9":26,"10":28,"11":34,"12":38,"13":39,"14":41,"15":43,"16":44,"17":45,"18":48,"19":49,"20":50,"21":56,"22":57,"23":61,"24":62,"25":63,"26":70,"27":71,"28":73,"29":76,"30":86,"31":88,"32":92,"33":93,"34":94,"35":96,"36":97,"37":98,"38":100,"39":101,"40":103,"41":105,"42":109,"43":112,"44":117,"45":118,"46":120,"47":122,"48":132,"49":133,"50":138,"51":141,"52":143,"53":145,"54":146,"55":148,"56":156,"57":157,"58":159,"59":165,"60":167,"61":170,"62":173,"63":176,"64":186,"65":188,"66":190,"67":192,"68":198,"69":200,"70":203,"71":207,"72":209,"73":210,"74":213,"75":217,"76":219,"77":220,"78":222,"79":224,"80":225,"81":227,"82":230,"83":231,"84":233,"85":236,"86":239,"87":242,"88":243,"89":247,"90":249,"91":250,"92":252,"93":253,"94":254,"95":257,"96":264,"97":273,"98":279,"99":281,"100":282,"101":283,"102":284,"103":286,"104":287,"105":288,"106":294,"107":297,"108":298,"109":299,"110":303,"111":304,"112":305,"113":306,"114":307,"115":310,"116":312,"117":315,"118":316,"119":317,"120":320,"121":322,"122":325,"123":326,"124":331,"125":333,"126":340,"127":341,"128":347,"129":348,"130":351,"131":352,"132":353,"133":354,"134":359,"135":360,"136":361,"137":366,"138":374,"139":378,"140":387,"141":395,"142":399,"143":406,"144":407,"145":409,"146":412,"147":415,"148":417,"149":418,"150":426,"151":438,"152":441,"153":451,"154":458,"155":466,"156":468,"157":470,"158":471,"160":473,"161":474,"162":476,"163":477,"164":480,"165":481,"166":493,"167":497,"168":498,"169":506,"170":508,"171":512,"172":518,"173":527,"174":530,"175":534,"176":535,"177":538,"178":540,"179":542,"180":543,"181":544,"182":548,"183":550,"184":562,"185":566,"186":570,"187":571,"188":572,"189":576,"190":578,"191":579,"192":580,"193":581,"194":582,"195":584,"196":585,"197":586,"198":588,"199":589,"200":591,"201":594,"202":605,"203":610,"204":614,"205":618,"206":621,"207":624,"208":626,"209":628,"210":634,"211":635,"212":636,"213":637,"214":639,"215":640,"216":641,"217":647,"218":649,"219":651,"220":653,"221":654,"222":657,"223":662,"224":664,"225":669,"226":671,"227":675,"228":681,"229":682,"230":685,"231":687,"232":691,"233":693,"234":706,"235":708,"236":713,"237":721,"238":723,"239":729,"240":731,"241":732,"242":738,"243":742,"244":744,"245":746,"246":748,"247":749,"248":752,"249":754,"250":758,"251":760,"252":763,"253":765,"254":767,"255":768,"256":770,"257":775,"258":780,"259":782,"260":784,"261":786,"262":787,"263":788,"264":792,"265":795,"266":796,"267":814,"268":822,"269":824,"270":827,"271":828,"272":829,"273":833,"274":834,"275":837,"276":838,"277":842,"278":843,"279":844,"280":845,"281":846,"282":849,"283":850,"284":852,"285":853,"286":854,"287":855,"288":859,"289":868,"290":871,"291":873,"292":876,"293":885,"294":888,"295":895,"296":896,"297":901,"298":903,"299":904,"300":906,"301":907,"302":913,"303":914,"304":918,"305":919,"306":921,"307":922,"308":923,"309":925,"310":932,"311":935,"312":939,"313":940,"314":941,"315":942,"316":944,"317":945,"318":947,"319":949,"320":950,"321":953,"322":954,"323":955,"324":957,"325":959,"326":962,"327":966,"328":970,"329":980,"330":985,"331":994,"332":995,"333":996,"334":997,"335":998,"336":1000,"337":1003,"338":1005,"339":1006,"340":1007,"341":1008,"342":1009,"343":1010,"344":1014,"345":1018,"346":1023},[2,9,27,29,30,31,33,40,46,52,54,67,85,104,106,107,108,110,114,115,125,134,136,139,158,160,161,162,163,164,166,179,180,183,193,208,214,218,221,223,228,229,241,246,259,280,285,289,291,292,293,295,302,311,314,318,332,335,355,358,362,368,370,383,384,385,386,389,405,408,410,411,416,421,427,437,443,467,469,478,479,482,490,501,503,507,511,536,537,541,558,565,583,587,593,595,596,599,602,607,608,611,613,617,620,622,655,656,658,659,663,665,666,667,672,673,674,676,679,683,689,694,695,696,700,701,702,703,711,717,730,735,736,741,747,751,753,755,756,762,766,779,783,789,790,791,799,800,812,818,820,821,823,825,826,851,856,862,863,867,878,883,884,887,889,890,893,911,917,938,943,946,951,969,971,972,978,991,992,999,1016,1017],[23,32,35,90,91,95,99,102,111,119,128,129,135,137,168,171,172,175,182,191,194,195,290,356,357,363,371,373,428,449,475,483,495,539,549,598,601,604,609,615,616,623,627,631,632,633,642,643,644,660,661,668,677,688,690,699,707,710,714,715,716,719,720,745,750,757,759,761,764,771,777,785,830,860,886,891,892,910,948,973,993,1015,1020],[20,130,376,377,381,425,439,440,444,445,510,564,590,592,600,612,619,629,630,697,704,819,897],[127,169,177,181,187,419,446,638,718,952,960,965],[189,372,491,496,499,515,670,961],[431,484,486,502,509],[492,494,500,513],[488,505]]